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Graphing method

# Graphing method - tables of x and y values x y 4 0 2 –2 5...

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Graphing method Another method of solving equations is by  graphing  each equation on a coordinate graph. The  coordinates of the intersection will be the solution to the system. If you are unfamiliar with coordinate  graphing, carefully review the articles on coordinate geometry before attempting this method.  Example 8 Solve the system by graphing. First, find three values for  x  and  y  that satisfy each equation. (Although only two points are  necessary to determine a straight line, finding a third point is a good way of checking.) Following are

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Unformatted text preview: tables of x and y values: x y 4 0 2 –2 5 1 x y 1 –1 4 0 7 1 Now graph the two lines on the coordinate plane, as shown in Figure 1. The point where the two lines cross (4, 0) is the solution of the system. If the lines are parallel, they do not intersect, and therefore, there is no solution to that system. Figure 1. The graph of lines x = 4 + y and x – 3 y = 4 indicating the solution....
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